The logical inconsistency of kinematics of the special relativity theory (SRT) was proved in previous Chapter 1. This forces to return to the classical notions of space and time. Since relativists declare that SRT is the limiting case of the general relativity theory (GRT) in the absence of gravitation, then there arise some doubts in validity of GRT kinematics also. Unlike SRT, the GRT contains some rather interesting ideas, such as the principle of equivalence expressed via the idea of "geometrization". (Note that incorrectness of geometrization of electromagnetic fields is obvious: experiments show that neutral particles do not respond to the "electromagnetic curvature of space".) If it's basis were true, the GRT could have a claim on status of a scientific hypothesis about some correction to the static Newton's law of gravitation. Since it is not the case, the gravitation theory must be constructed in a different manner. For the sake of justice it could be mentioned that GRT, in contrast to SRT, never were the universally recognized non-alternative theory. The current of true criticism of this theory has been continuing from its origin. There exist several rather advanced alternative theories (for example, [11,18] etc.). Although we shall not analyze theories other than GRT, it must be emphasized that theories, "playing" around change of space and time properties and having relativistic kinematics of SRT as its limiting case, are obviously doubtful.
The basic purpose of present Chapter 2 is the criticism of basis notions of GRT. A logical inconsistency of space and time notions in GRT is demonstrated here. The (plausibly hidden) errors and disputable points from the textbooks [3,17,39] are displayed step by step in Chapter 2. In addition to conventional GRT interpretations, we shall also consider some "relativistic alternative" to cover possible loop-holes for salvation of this theory. The time synchronization issues and the Mach principle are also discussed, and the attention is given to doubtful corollaries from GRT.